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Finding the Fourth Proportional to 8,306.49, 12,456.50 and 3,627.93

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Solution

The fourth proportional to 8,306.49, 12,456.50 and 3,627.93 is: 5,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.49 : 12,456.50 = 3,627.93 : x
  2. Step 2: Convert to fraction form
    8,306.49/12,456.50 = 3,627.93/x
  3. Step 3: Cross multiply
    8,306.49x = 12,456.50 × 3,627.93
  4. Step 4: Simplify right side
    8,306.49x = 45,191,291.91
  5. Step 5: Solve for x
    x = 45,191,291.91/8,306.49
  6. Step 6: Final answer
    x = 5,440.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.